Google DeepMind AI Solves 56-Year-Old Math Problems

Google DeepMind's AI system, AlphaProof Nexus, has autonomously solved nine open Erdős problems, some unsolved for 56 years. This system also resolved a 15-year-old question in algebraic geometry and discovered a new algorithmic parameter. What's interesting is the AI reportedly operated autonomously, generating and checking proofs using computer-level verification tools. This addresses a major debate in AI math about "hallucinations," where AI systems can produce convincing but flawed proofs. Google's approach combines large language model reasoning with a formal verification system called Lean. This means Lean automatically checks every logical step, instantly rejecting unsupported claims or missing logic. This matters because it offers a more reliable way to verify AI-generated mathematical proofs.